A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - Broj stranica: 258 |
Iz unutrašnjosti knjige
Rezultati 1 - 5 od 11.
Stranica viii
... Green's Theorem Kinetic energy of a fluid . 66 , 67 . Thomson's extension of Green's Theorem CHAPTER IV . MOTION OF A LIQUID IN TWO DIMENSIONS . PAGE . 54 57 63 68 , 69 . 70-72 . 73-79 . The Stream - Function Irrotational motion ...
... Green's Theorem Kinetic energy of a fluid . 66 , 67 . Thomson's extension of Green's Theorem CHAPTER IV . MOTION OF A LIQUID IN TWO DIMENSIONS . PAGE . 54 57 63 68 , 69 . 70-72 . 73-79 . The Stream - Function Irrotational motion ...
Stranica 57
... Green's Theorem . 64. In treatises on Electrostatics , & c . , many important pro- perties of the potential are usually proved by means of a certain theorem due to Green ‡ . Of these the most interesting from our present point of view ...
... Green's Theorem . 64. In treatises on Electrostatics , & c . , many important pro- perties of the potential are usually proved by means of a certain theorem due to Green ‡ . Of these the most interesting from our present point of view ...
Stranica 59
... theorem then asserts that the total increase of o within the region is equal to the influx across the boundary . A particular case is where u , v , w are the component velocities of a fluid filling the region , and is ... GREEN'S THEOREM .
... theorem then asserts that the total increase of o within the region is equal to the influx across the boundary . A particular case is where u , v , w are the component velocities of a fluid filling the region , and is ... GREEN'S THEOREM .
Stranica 60
... Green's theorem . ( 22 ) . Corollary 3. In ( 21 ) let & be the velocity - potential of a liquid , and let 1 ; we find , since v2 = 0 , = JJ dS = 0 ....... dn ...... . ( 23 ) , which is in fact what ( 20 ) becomes for the case of ...
... Green's theorem . ( 22 ) . Corollary 3. In ( 21 ) let & be the velocity - potential of a liquid , and let 1 ; we find , since v2 = 0 , = JJ dS = 0 ....... dn ...... . ( 23 ) , which is in fact what ( 20 ) becomes for the case of ...
Stranica 61
... theorem to the region included within a spherical surface of radius r having any point ( x , y , z ) as centre . With the same notation as in Art . 46 , we have u2 du tr d [ ] w d = - [ ] u dv ... Green's Theorem Kinetic energy of a fluid.
... theorem to the region included within a spherical surface of radius r having any point ( x , y , z ) as centre . With the same notation as in Art . 46 , we have u2 du tr d [ ] w d = - [ ] u dv ... Green's Theorem Kinetic energy of a fluid.
Ostala izdanja - Prikaži sve
Uobičajeni izrazi i fraze
angle angular velocity Ave Maria Lane axes axis C. J. CLAY Cambridge University Press centre Christ's College circle circuit CLAY & SONS co-ordinates constant corresponding Crown 8vo curves const cyclic Demy 8vo denote direction dt dt dx dx dx dy dz dy dy Edited element equation of continuity Fellow finite fluid forces formulæ given Green's Theorem Hence impulse infinitely small infinity integral internal boundary irrotational irrotational motion J. E. SANDYS liquid LL.D mass moving Notes obtain origin P. G. TAIT P₁ parallel particle plane xy portion pressure Professor quantities radius RENDEL HARRIS satisfied shews simply-connected solid sphere St John's College stream-lines surface theorem Thomson Trinity College University of Cambridge University Press Warehouse velocity-potential vertical vortex waves zero аф
Popularni odlomci
Stranica 7 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Stranica 4 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIVENER.
Stranica 15 - Pindar. Olympian and Pythian Odes. With Notes Explanatory and Critical, Introductions and Introductory Essays. Edited by CAM FENNELL, MA, late Fellow of Jesus College. Crown 8vo. cloth. gs. The Isthmian and Nemean Odes by the same Editor. 9*.
Stranica 20 - A Treatise on the Theory of Determinants and their Applications in Analysis and Geometry. By ROBERT FORSYTH SCOTT, MA, Fellow of St John's College. Demy 8vo.
Stranica 6 - SCRIPTURES, &c. The Cambridge Paragraph Bible of the Authorized English Version, with the Text revised by a Collation of its Early and other Principal Editions...
Stranica 32 - Vols. Super Royal 8vo. £6. 6s. Also a limited Edition of the same, consisting of 120 numbered Copies only, large paper Quarto ; the woodcuts and steel engravings mounted on India paper ; price Twenty-five Guineas net each set.
Stranica 5 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L.
Stranica 8 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.
Stranica 12 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled...